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16001420 = 22517192477
BaseRepresentation
bin111101000010…
…100110001100
31010002221211012
4331002212030
513044021140
61330544352
7253003241
oct75024614
933087735
1016001420
11903a116
1254380b8
1334133c6
1421a75c8
151611265
hexf4298c

16001420 has 48 divisors (see below), whose sum is σ = 37467360. Its totient is φ = 5704704.

The previous prime is 16001413. The next prime is 16001423. The reversal of 16001420 is 2410061.

It is a junction number, because it is equal to n+sod(n) for n = 16001395 and 16001404.

It is not an unprimeable number, because it can be changed into a prime (16001423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5222 + ... + 7698.

It is an arithmetic number, because the mean of its divisors is an integer number (780570).

Almost surely, 216001420 is an apocalyptic number.

16001420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733680).

16001420 is an abundant number, since it is smaller than the sum of its proper divisors (21465940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16001420 is a wasteful number, since it uses less digits than its factorization.

16001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 16001420 is about 4000.1774960619. The cubic root of 16001420 is about 251.9916642913.

Adding to 16001420 its reverse (2410061), we get a palindrome (18411481).

The spelling of 16001420 in words is "sixteen million, one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 2477 3230 4954 6460 9908 12385 24770 42109 47063 49540 84218 94126 168436 188252 210545 235315 421090 470630 800071 842180 941260 1600142 3200284 4000355 8000710 16001420